ON MOROZOV’S DISCREPANCY PRINCIPLE FOR NONLINEAR ILL-POSED EQUATIONS

DOI10.1017/S0004972708001342zbMath1180.65070MaRDI QIDQ3624618

M. Thamban Nair

Publication date: 30 April 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nonlinear ill-posed problemTikhonov regularizationMorozov's discrepancy principleoptimal error estimateorder optimalitygeneral source condition

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (4)

A modified Lavrentiev iterative regularization method for analytic continuation ⋮ Generalized Bayes approach to inverse problems with model misspecification ⋮ Regularization methods for a problem of analytic continuation ⋮ Morozov-type discrepancy principle for nonlinear ill-posed problems under \(\eta\)-condition

Cites Work

• Unnamed Item
• Regularized collocation method for Fredholm integral equations of the first kind
• Regularization in Hilbert scales under general smoothing conditions
• An analysis of Tikhonov regularization for nonlinear ill-posed problems under a general smoothness assumption
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• An Optimal Order Regularization Method which Does Not Use Additional Smoothness Assumptions
• Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
• Optimality for ill-posed problems under general source conditions
• Regularization of exponentially ill-posed problems
• Morozov's discrepancy principle for tikhonov
• MOROZOV'S DISCREPANCY PRINCIPLE FOR TIKHONOV-REGULARIZATION OF NONLINEAR OPERATORS
• Variable hilbert scales and their interpolation inequalities with applications to tikhonov regularization
• Tikhonov regularization of nonlinear ill-posed equations under general source condition

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